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Finding the Third Proportional to 65,013 and 135,178.50

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Solution

The third proportional to 65,013 and 135,178.50 is: 281,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013 : 135,178.50 = 135,178.50 : x
  2. Step 2: Convert to fraction form
    65,013/135,178.50 = 135,178.50/x
  3. Step 3: Cross multiply
    65,013x = 135,178.50 × 135,178.50
  4. Step 4: Simplify right side
    65,013x = 18,273,226,862.25
  5. Step 5: Solve for x
    x = 18,273,226,862.25/65,013
  6. Step 6: Final answer
    x = 281,070.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.